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Finding the Fourth Proportional to 348.86, 523.38 and 117.76

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Solution

The fourth proportional to 348.86, 523.38 and 117.76 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.86 : 523.38 = 117.76 : x
  2. Step 2: Convert to fraction form
    348.86/523.38 = 117.76/x
  3. Step 3: Cross multiply
    348.86x = 523.38 × 117.76
  4. Step 4: Simplify right side
    348.86x = 61,633.23
  5. Step 5: Solve for x
    x = 61,633.23/348.86
  6. Step 6: Final answer
    x = 176.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.